82+(5x+2)+(2x-9)=180

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Solution for 82+(5x+2)+(2x-9)=180 equation: 


Simplifying
82 + (5x + 2) + (2x + -9) = 180

Reorder the terms:
82 + (2 + 5x) + (2x + -9) = 180

Remove parenthesis around (2 + 5x)
82 + 2 + 5x + (2x + -9) = 180

Reorder the terms:
82 + 2 + 5x + (-9 + 2x) = 180

Remove parenthesis around (-9 + 2x)
82 + 2 + 5x + -9 + 2x = 180

Reorder the terms:
82 + 2 + -9 + 5x + 2x = 180

Combine like terms: 82 + 2 = 84
84 + -9 + 5x + 2x = 180

Combine like terms: 84 + -9 = 75
75 + 5x + 2x = 180

Combine like terms: 5x + 2x = 7x
75 + 7x = 180

Solving
75 + 7x = 180

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-75' to each side of the equation.
75 + -75 + 7x = 180 + -75

Combine like terms: 75 + -75 = 0
0 + 7x = 180 + -75
7x = 180 + -75

Combine like terms: 180 + -75 = 105
7x = 105

Divide each side by '7'.
x = 15

Simplifying
x = 15

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